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Processing the Echo From Range-Dependent Multiplexed Pulses in Range-Doppler Radar

Publishing Venue

IBM

Related People

Feig, E: AUTHOR

Abstract

Present radar systems cannot assign radial velocities to targets which are clustered in the range-Doppler plane. This article describes a range-dependent multiplexed pulse for a radar to transmit and how to process the echo created by such a pulse when it is reflected by a cluster in the range-Doppler plane. The range-dependent multiplexed transmitted pulse is described as follows: (Image Omitted) Next, compute the Fourier transform of E(t). It can be shown to be of the form where U denotes the Fourier transform of U. Since we assume that the targets are clustered in the range-Doppler plane, the yj are clustered and the fk are very far apart. Furthermore, the signal is constructed so that U is narrow banded.

Country

United States

Language

English (United States)

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Present radar systems cannot assign radial velocities to targets which are
clustered in the range-Doppler plane. This article describes a range-dependent
multiplexed pulse for a radar to transmit and how to process the echo created by
such a pulse when it is reflected by a cluster in the range-Doppler plane. The
range-dependent multiplexed transmitted pulse is described as follows:

(Image Omitted)

Next, compute the Fourier transform of E(t). It can be shown to be of the form
where U denotes the Fourier transform of U. Since we assume that the targets
are clustered in the range-Doppler plane, the yj are clustered and the fk are very
far apart. Furthermore, the signal is constructed so that U is narrow banded.
Thus, the various summands in the expression for E(s) do not overlap, and we
can determine each of them,

(Image Omitted)

We next compute the Fourier inverse Ek(t) of each of these and divide them by a
phase factor yielding This system of equations is well conditioned because of our
choice for the fk, so we can solve for 2fiyjt Hj(t) = U(t+xj) e In effect, we have
isolated that portion of the echo contributed by a single target. The procedure
now follows the standard matched- filter method for radar detection, which is well
known to yield range and Doppler information for a single target. Thus, we form
the time averages of the Hj's with all "possible echoes" yielding